Solution First, consider the information given in the image. You are given that ∠A≅∠D . You are given that ∠B≅∠E . You have two pairs of congruent angles. To use the ASA Congruence Theorem, you still need a pair of congruent sides between the congruent angles. Carefully consider the triangles in order to choose the side of each triangle that is between the given angles. In △ABC , AB is between the given angles. In △DEF , DE is between the given angles. Notice that the line segments were named so that the corresponding points match up. Point A corresponds to point D and point B corresponds to point E. You know this because of the congruent angles that are marked. If you knew that AB≅DE , then you would have enough information to state that △ABC≅△DEF by the ASA Congruence Theorem.
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